Use long division to convert 13/20 to a decimal.

Question

Use long division to convert 13/20 to a decimal.

👇

3 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

To convert the fraction 13/20 to a decimal using long division, follow these steps:

1. Divide 20 by 13. Write the quotient (1) above the division bar.

```
1
──────
13│20
13
```

2. Multiply the quotient (1) by the divisor (13) and subtract the result from the dividend (20).

```
1
──────
13│20
13
──
7
```

3. Bring down the next digit of the dividend (0).

```
1
──────
13│20
13
──
7
+0
```

4. Divide the new dividend (70) by the divisor (13). Write the quotient (5) above the division bar.

```
1 5
──────
13│20
13
──
7
+0
65
```

5. Multiply the quotient (5) by the divisor (13) and subtract the result from the new dividend (70).

```
1 5
──────
13│20
13
──
7
+0
65
──
5
```

6. Bring down the next digit of the dividend (0).

```
1 5
──────
13│20
13
──
7
+0
65
──
5
+0
```

7. Divide the new dividend (50) by the divisor (13). Write the quotient (3) above the division bar.

```
1 5 3
────────
13│20
13
──
7
+0
65
──
5
+0
52
```

8. Multiply the quotient (3) by the divisor (13) and subtract the result from the new dividend (50).

```
1 5 3
────────
13│20
13
──
7
+0
65
──
5
+0
52
──
-2
```

9. Since the remainder is negative, we can add a decimal point and a zero to the dividend and continue the division.

```
1 5 3
────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
```

10. Divide the new dividend (−20) by the divisor (13). Write the quotient (−1) above the division bar.

```
1 5 3 −1
────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
```

11. Multiply the quotient (−1) by the divisor (13) and subtract the result from the new dividend (−20).

```
1 5 3 −1
────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
```

12. Bring down the next digit of the dividend (0).

```
1 5 3 −1
────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
+0
```

13. Divide the new dividend (−70) by the divisor (13). Write the quotient (−5) above the division bar.

```
1 5 3 −1 −5
──────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
+0
-65
```

14. Multiply the quotient (−5) by the divisor (13) and subtract the result from the new dividend (−70).

```
1 5 3 −1 −5
──────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
+0
-65
────
-50
```

15. Bring down the next digit of the dividend (0).

```
1 5 3 −1 −5
────────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
+0
-65
────
-50
+ 0
```

16. Divide the new dividend (−500) by the divisor (13). Write the quotient (−38) above the division bar.

```
1 5 3 −1 −5 −38
────────────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
+0
-65
────
-50
+ 0
-39
```

17. Multiply the quotient (−38) by the divisor (13) and subtract the result from the new dividend (−500).

```
1 5 3 −1 −5 −38
────────────────────
13│20.0
13
──
7
+0
65
──
5
+0
52
──
-2.0
-1
13
+0
-65
────
-50
+ 0
-39
-39
```

18. Since the remainder (-390) is a multiple of the divisor (13), the long division is complete.

The fraction 13/20 as a decimal is approximately 0.65.

Answer 2

Step-by-Step Bot answered
1 year ago

To convert the fraction 13/20 to a decimal using long division, follow these steps:

Step 1: Set up the long division problem by writing 13 as the dividend and 20 as the divisor.

________
20 | 13

Step 2: Divide the first digit of the dividend (1) by the divisor (20). Write the quotient (0) above the division bar.

________
20 | 13
0

Step 3: Multiply the quotient by the divisor (0 x 20 = 0) and subtract it from the dividend. Write the result (13) below the division bar.

________
20 | 13
0
-----
13

Step 4: Bring down the next digit of the dividend (3) and write it next to the result from step 3.

________
20 | 13
0
-----
13
3

Step 5: Divide the new number (13) by the divisor (20). Write the new quotient (0) above the division bar.

________
20 | 13
0
-----
13
3
0

Step 6: Multiply the new quotient (0) by the divisor (0 x 20 = 0) and subtract it from the number in step 5. Write the result (13) below the division bar.

________
20 | 13
0
-----
13
3
0
-----
13

Step 7: Bring down the next digit of the dividend (0) and write it next to the result from step 6.

________
20 | 13
0
-----
13
3
0
0

Step 8: Divide the new number (13) by the divisor (20). Write the new quotient (0) above the division bar.

________
20 | 13
0
-----
13
3
0
0
0

Step 9: Multiply the new quotient (0) by the divisor (0 x 20 = 0) and subtract it from the number in step 8. Write the result (13) below the division bar.

________
20 | 13
0
-----
13
3
0
0
0
-----
13

Step 10: Since the result in step 9 is the same as the original dividend (13), and there are no more digits to bring down, the long division process is complete.

Step 11: The decimal representation of the fraction 13/20 is 0.65.

Therefore, 13/20 is equal to 0.65 as a decimal.

Answer 3

Explain Bot answered
1 year ago

To convert a fraction to a decimal using long division, follow these steps:

1. Write the fraction as a division problem: Place the numerator (13) inside the bracket as the dividend and the denominator (20) outside the bracket as the divisor. It should look like this: 13 ÷ 20.

2. Divide the first digit of the dividend by the divisor: In this case, divide 13 by 20. Since 13 is smaller than 20, you can place a decimal point above the division symbol and add a zero after the decimal point. It should look like this: 0.

3. Calculate the first decimal digit: Divide the divisor (20) into the initial dividend (13). The quotient will be the first decimal digit. In this case, 20 does not go into 13, so the first decimal digit is zero.

4. Multiply the last decimal digit obtained by 10: In this case, multiply zero by 10, which gives you zero.

5. Subtract the result obtained in step 4 from the previous dividend: Subtract zero from 13. The result is 13.

6. Bring down the next digit of the dividend (if any): Since there are no more digits after 13, you are done with the long division process.

7. If the answer is not exact, continue adding zeros after the decimal point and bring down the next digit until you achieve the desired level of precision.

In this case, the result is 0.65. Therefore, 13/20 is equal to 0.65 as a decimal.